English

The group generated by Riordan involutions

Group Theory 2018-03-20 v1

Abstract

We prove that any element in the group generated by the Riordan involutions is the product of at most four of them. We also give a description of this subgroup as a semidirect product of a special subgroup of the commutator subgroup and the Klein four-group.

Keywords

Cite

@article{arxiv.1803.06872,
  title  = {The group generated by Riordan involutions},
  author = {Ana Luzon and Manuel A. MorÓn and L. Felipe Prieto-Martinez},
  journal= {arXiv preprint arXiv:1803.06872},
  year   = {2018}
}

Comments

18 pages

R2 v1 2026-06-23T00:57:23.365Z